The Jackson Health System announced Wednesday something that has eluded Miami-Dade County government for months: It reached a tentative deal with labor unions.

The public hospital network and two unions that represent more than 10,000 workers announced agreements to phase out an unpopular pay concession and award employees one-time bonuses.

Jackson would reduce the pay contribution, which goes toward group healthcare costs, to 2 percent from 5 percent, retroactive to Jan. 1. The remaining 2 percent would go away at the end of the fiscal year on Sept. 30.

Executives who have not been making the contribution would begin to pay the 2 percent, also retroactive to Jan. 1. Rank-and-file employees had said it was unfair to exempt executives, who had seen pay cuts and other benefit suspensions, though not always equal to a 5 percent pay contribution.

The unions also agreed to end discussions on pay raises through Sept. 30, marking the fourth consecutive year that Jackson employees forgo such increases.

In addition, because the hospital system closed its last fiscal year with a better-than-expected $45 million surplus, Jackson would award one-time bonuses to employees amounting to 3 percent of their base pay.

Jackson’s two unions were among seven at impasse with the county over the disputed healthcare contribution.

“It’s great that we found a way to resolve this,” Jackson Chief Executive Carlos Migoya said. “We’re hoping this excites our employees and continues to help us in the transformation and improvements to the system.”